First off, good luck w/ your new hobby I guess. A 30/06 is a fairly heavy kicker depending a lot on the rifles' construction and stock configuration. That being said there are a number of things that can be done to mitigate its' effects like recoil pads, etc.
As far as the Stevens goes, one thing seems to be a constant. The rifle will have the ability to shoot better than you, at least at first. One direct advantage that many rifles have is an adjustable trigger. If the Stevens doesn't have this then look real hard at a Savage instead, a little more money but the trigger is worth it. I personally like a little higher quality(debatable by many Savage fans) rifle in the Tikka. And yes I have both. At any rate, the 30/06 round will serve you well.
elkman06